Details

Time bar (total: 4.6s)

analyze697.0ms (15%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
9.4%90.4%0.2%10
23.4%74.9%1.8%11
27.3%69%3.7%12
36.6%56.5%6.8%13
40.5%52%7.4%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample25.0ms (0.5%)

Algorithm
intervals
Results
13.0ms256×body128valid
2.0ms63×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify186.0ms (4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
040010
140010

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2
Compiler

Compiled 23 to 22 computations (4.3% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.8b
(-.f64 (*.f64 x y) (*.f64 z y))
6.4b
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)

rewrite13.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_14926
pow1_binary64_14963 *-un-lft-identity_binary64_14905 add-cbrt-cube_binary64_14938 add-cube-cbrt_binary64_14937 add-exp-log_binary64_14940 associate-*l*_binary64_14848 add-log-exp_binary64_14941
associate-*r*_binary64_14847
flip3--_binary64_14909 flip--_binary64_14880 distribute-rgt-out--_binary64_14861 associate-*l/_binary64_14850
sub-neg_binary64_14898 pow-prod-down_binary64_14973 cbrt-unprod_binary64_14935 diff-log_binary64_14994 prod-exp_binary64_14951 unswap-sqr_binary64_14873 *-commutative_binary64_14838
Counts
2 → 33
Calls

2 calls:

7.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
4.0ms
(-.f64 (*.f64 x y) (*.f64 z y))

series190.0ms (4.1%)

Counts
2 → 6
Calls

2 calls:

128.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
63.0ms
(-.f64 (*.f64 x y) (*.f64 z y))

simplify63.0ms (1.4%)

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05061471

prune35.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New33639
Fresh011
Picked011
Done000
Total33841

Merged error: 0.0b

Counts
41 → 8
Compiler

Compiled 604 to 194 computations (67.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 t)
0.6b
(cbrt.f64 t)
1.7b
(*.f64 (*.f64 y (*.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))) (cbrt.f64 t))
5.4b
(*.f64 y (*.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))

rewrite42.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
27×pow1_binary64_14963 add-exp-log_binary64_14940
19×add-cbrt-cube_binary64_14938
16×pow-prod-down_binary64_14973 cbrt-unprod_binary64_14935 prod-exp_binary64_14951
cbrt-prod_binary64_14933 *-un-lft-identity_binary64_14905 add-cube-cbrt_binary64_14937 add-sqr-sqrt_binary64_14926
associate-*r*_binary64_14847
associate-*l/_binary64_14850
associate-*r/_binary64_14849 associate-*l*_binary64_14848 add-log-exp_binary64_14941
pow1/3_binary64_14984 flip3--_binary64_14909 flip--_binary64_14880 *-commutative_binary64_14838
Counts
4 → 74
Calls

4 calls:

19.0ms
(*.f64 (*.f64 y (*.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))) (cbrt.f64 t))
14.0ms
(*.f64 y (*.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
1.0ms
(cbrt.f64 t)
1.0ms
(cbrt.f64 t)

series795.0ms (17.1%)

Counts
4 → 12
Calls

4 calls:

309.0ms
(*.f64 y (*.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
186.0ms
(*.f64 (*.f64 y (*.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))) (cbrt.f64 t))
162.0ms
(cbrt.f64 t)
138.0ms
(cbrt.f64 t)

simplify83.0ms (1.8%)

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
04888966
14888966

prune67.0ms (1.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New84286
Fresh246
Picked011
Done011
Total86894

Merged error: 0.0b

Counts
94 → 8
Compiler

Compiled 1383 to 466 computations (66.3% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 t)
0.6b
(cbrt.f64 t)
1.7b
(*.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
4.9b
(*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))

rewrite39.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
34×pow1_binary64_14963 add-exp-log_binary64_14940
21×pow-prod-down_binary64_14973 cbrt-unprod_binary64_14935 add-cbrt-cube_binary64_14938 prod-exp_binary64_14951
cbrt-prod_binary64_14933
*-un-lft-identity_binary64_14905 add-cube-cbrt_binary64_14937 add-sqr-sqrt_binary64_14926
associate-*r*_binary64_14847
associate-*l/_binary64_14850
associate-*r/_binary64_14849 add-log-exp_binary64_14941
pow1/3_binary64_14984 flip3--_binary64_14909 flip--_binary64_14880 associate-*l*_binary64_14848 *-commutative_binary64_14838
Counts
4 → 78
Calls

4 calls:

17.0ms
(*.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
13.0ms
(*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))
1.0ms
(cbrt.f64 t)
1.0ms
(cbrt.f64 t)

series792.0ms (17.1%)

Counts
4 → 12
Calls

4 calls:

305.0ms
(*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))
188.0ms
(*.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
152.0ms
(cbrt.f64 t)
147.0ms
(cbrt.f64 t)

simplify83.0ms (1.8%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
049181011
149181011

prune68.0ms (1.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New90090
Fresh055
Picked011
Done022
Total90898

Merged error: 0.0b

Counts
98 → 8
Compiler

Compiled 1403 to 435 computations (69% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 t (-.f64 x z))
7.8b
(*.f64 y (*.f64 t (-.f64 x z)))

rewrite18.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64_14963 add-cbrt-cube_binary64_14938 add-exp-log_binary64_14940 add-sqr-sqrt_binary64_14926
*-un-lft-identity_binary64_14905
sub-neg_binary64_14898 associate-*r*_binary64_14847 associate-*r/_binary64_14849 associate-*l*_binary64_14848
add-cube-cbrt_binary64_14937 distribute-rgt-in_binary64_14857 distribute-lft-in_binary64_14856
pow-prod-down_binary64_14973 cbrt-unprod_binary64_14935 prod-exp_binary64_14951
flip3--_binary64_14909 flip--_binary64_14880 add-log-exp_binary64_14941 *-commutative_binary64_14838
distribute-lft-out--_binary64_14859 unswap-sqr_binary64_14873 difference-of-squares_binary64_14874
Counts
2 → 48
Calls

2 calls:

8.0ms
(*.f64 y (*.f64 t (-.f64 x z)))
7.0ms
(*.f64 t (-.f64 x z))

series176.0ms (3.8%)

Counts
2 → 6
Calls

2 calls:

107.0ms
(*.f64 y (*.f64 t (-.f64 x z)))
69.0ms
(*.f64 t (-.f64 x z))

simplify49.0ms (1.1%)

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05455578

prune32.0ms (0.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New51354
Fresh224
Picked011
Done123
Total54862

Merged error: 0b

Counts
62 → 8
Compiler

Compiled 602 to 145 computations (75.9% saved)

regimes375.0ms (8.1%)

Compiler

Compiled 652 to 548 computations (16% saved)

bsearch1.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05663
15663

end0.0ms (0%)

sample767.0ms (16.5%)

Algorithm
intervals
Results
274.0ms8000×body128valid
60.0ms1848×body128invalid
Compiler

Compiled 184 to 130 computations (29.3% saved)

Profiling

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